Question

3^x=243

Answer 1

The way you do this is make the other side into a power of three.

Answer 2

What is the cube root of 243, anjali142?

Answer 3

dont know

Answer 4

4

Answer 5

5

Answer 6

No anjali, can I write 243 as 81 * 3 ?

Answer 7

its 5

Answer 8

3^5=243

Answer 9

but I dont have that option

Answer 10

Great.

So we have : \(3^x = 3^5\)

so x = 5, got it ? as : \(a^b = a^d\) then b = d, so 3^x = 3^5 , so x = 5

Answer 11

I got log3243=x
logx3=243
log3x=243
log243x=3

Answer 12

I need to write it in log form

Answer 13

\[3^x = 243\]
is the same as
\[\log 3^x = \log 243\]
then move x down
\[x \log 3 = \log 243\]
\[x = \frac{ \log 243 }{ \log 3 }\]
which is the same as 'change of base' formular, so this is the same as

\[x = \log_{3} 243\]

Answer 14

thank you

Answer 15

Ok! didn't know that. Good work, and you're welcome :)